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Questions and Answers
What is the numerator in a fraction?
What is the numerator in a fraction?
- The top number (correct)
- The sum of the top and bottom numbers
- The bottom number
- The difference between the top and bottom numbers
What is the main rule to simplify a fraction?
What is the main rule to simplify a fraction?
- Divide both the numerator and denominator by the largest number that will divide evenly into both (correct)
- Subtract the numerator from the denominator
- Add the numerator and denominator
- Multiply the numerator and denominator by 2
What is the result of multiplying two fractions?
What is the result of multiplying two fractions?
- The product of the numerators and the product of the denominators (correct)
- The difference between the numerators and the difference between the denominators
- The product of the numerators and the sum of the denominators
- The sum of the numerators and the product of the denominators
What does it mean for a fraction to be simplified?
What does it mean for a fraction to be simplified?
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What is the purpose of simplifying fractions?
What is the purpose of simplifying fractions?
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What is the correct method to multiply fractions?
What is the correct method to multiply fractions?
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What is the requirement for adding or subtracting fractions?
What is the requirement for adding or subtracting fractions?
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What is the result of multiplying $2/3$ and $5/7$?
What is the result of multiplying $2/3$ and $5/7$?
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What is the result of adding $3/5$ and $2/5$?
What is the result of adding $3/5$ and $2/5$?
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What is the result of subtracting $3/7$ from $5/7$?
What is the result of subtracting $3/7$ from $5/7$?
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Study Notes
Fraction Basics
- A fraction consists of two numbers: a numerator (the top number) and a denominator (the bottom number).
- Numerator represents the number of parts, while denominator represents the number of parts that make a whole.
Simplifying Fractions
- A fraction is simplified if the numerator and denominator have no factors in common other than 1.
- To simplify a fraction, divide both the numerator and denominator by the largest number that will divide evenly into both.
Examples of Simplified Fractions
- 16/60 = 1/6
- 75/120 = 5/8
- 7/18 = 7/18
- 10xy/15y = 2x/3y
- 5/15 = 1/3
- 13/26 = 1/2
Multiplying Fractions
- Multiply straight across, numerator times numerator and denominator times denominator.
- Simplify, if possible.
Examples of Multiplying Fractions
- 3/1 × 4/5 = 12/5
- 11/3y × 3/5y = 33y/15y
- 2/5 × 5/5 = 2/5
- 9a/2 × 10/5 = 9a/1
Dividing Fractions
- Multiply the first fraction by the reciprocal (flip) of the second fraction.
Examples of Dividing Fractions
- 2/5 ÷ 3/1 = 2/5 × 1/3 = 2/15
- 3y/5y ÷ 6y/3y = 3y/5y × 3y/6y = 1/2
- 7/x ÷ 2/5 = 7/x × 5/2 = 35/2x
Adding or Subtracting Fractions
- DENOMINATORS must be the SAME to add or subtract fractions.
- Get a common denominator, if needed, then add or subtract the numerators and keep the common denominator.
- Simplify, if possible.
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